Search a number
-
+
3425323240 = 235436132647
BaseRepresentation
bin1100110000101010…
…0100100011101000
322211201100110010201
43030022210203220
524003340320430
61323520321544
7150611524063
oct31412444350
98751313121
103425323240
1114a8562059
127b71732b4
134278511b1
14246cbd8da
15150aaa8ca
hexcc2a48e8

3425323240 has 64 divisors (see below), whose sum is σ = 8015736960. Its totient is φ = 1316286720.

The previous prime is 3425323177. The next prime is 3425323241. The reversal of 3425323240 is 423235243.

It is a junction number, because it is equal to n+sod(n) for n = 3425323199 and 3425323208.

It is not an unprimeable number, because it can be changed into a prime (3425323241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88597 + ... + 121243.

It is an arithmetic number, because the mean of its divisors is an integer number (125245890).

Almost surely, 23425323240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007868480).

3425323240 is an abundant number, since it is smaller than the sum of its proper divisors (4590413720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3425323240 is a wasteful number, since it uses less digits than its factorization.

3425323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32762 (or 32758 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 3425323240 is about 58526.2611141358. The cubic root of 3425323240 is about 1507.4185444612.

Adding to 3425323240 its reverse (423235243), we get a palindrome (3848558483).

The spelling of 3425323240 in words is "three billion, four hundred twenty-five million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 61 86 122 172 215 244 305 344 430 488 610 860 1220 1720 2440 2623 5246 10492 13115 20984 26230 32647 52460 65294 104920 130588 163235 261176 326470 652940 1305880 1403821 1991467 2807642 3982934 5615284 7019105 7965868 9957335 11230568 14038210 15931736 19914670 28076420 39829340 56152840 79658680 85633081 171266162 342532324 428165405 685064648 856330810 1712661620 3425323240